At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

If the measures of the angles of a triangle are represented by 2x, 3x-15 and 7x+15, the triangle is
(1) acute
(2) isosceles
(3) equilateral
(4) right


Sagot :

the answer is (2)....................................
                    
First you have to calculate value of x, as sum of all three angles of a triangle is 180°. that means
[2x] + [3x - 15] + [7x + 15] = 180, 12x - 15 + 15 = 180, 
12x = 180, x = 15,
angles are, {[2*15], [(3*15) - 15], [(7*15) + 15]} = {30, 30, 120}, 
here two angles are equal, that means triangle is isosceles.